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Finding the Fourth Proportional to 2,014.85, 3,022.28 and 628.25

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Solution

The fourth proportional to 2,014.85, 3,022.28 and 628.25 is: 942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.85 : 3,022.28 = 628.25 : x
  2. Step 2: Convert to fraction form
    2,014.85/3,022.28 = 628.25/x
  3. Step 3: Cross multiply
    2,014.85x = 3,022.28 × 628.25
  4. Step 4: Simplify right side
    2,014.85x = 1,898,729.16
  5. Step 5: Solve for x
    x = 1,898,729.16/2,014.85
  6. Step 6: Final answer
    x = 942.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.